Timeline for Isoperimetric-like inequality for non-connected sets
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Oct 15, 2011 at 19:53 | vote | accept | Guillaume Aubrun | ||
| Oct 13, 2011 at 15:52 | comment | added | Anton Petrunin | @Guillaume. I learned this idea from Kliener's proof of isoperimetric inequality for 3-dimensional Hadamard space. | |
| Oct 13, 2011 at 8:58 | comment | added | Guillaume Aubrun | OK, I got it now, that's indeed a nice argument although it may be hard to write down. Thanks ! This gives also a proof of the usual isoperimetric inequality which I didn't know. Is this proof standard, or written somewhere ? | |
| Oct 12, 2011 at 22:12 | history | edited | Anton Petrunin | CC BY-SA 3.0 |
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| Oct 12, 2011 at 21:34 | comment | added | Sergei Ivanov | @Anton, what if the curvature is concentrated at corners where $\partial K$ meets $F$? | |
| Oct 12, 2011 at 17:19 | comment | added | Anton Petrunin | @Guillaume, now it is fixed (if you would read further you would see that this is a misprint). | |
| Oct 12, 2011 at 17:18 | history | edited | Anton Petrunin | CC BY-SA 3.0 |
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| Oct 12, 2011 at 12:00 | comment | added | Guillaume Aubrun | I don't understand why the total length of $\partial K \cap F$ is at least as big as the mean shadow of $F$. It seems to me that $\partial K \cap F$ can be arbitrary small for a given mean shadow (consider the case when $F_1,F_2,F_3$ are very small balls around the vertices of a large equilateral triangle, and $F_4$ anything inside the triangle). Did I miss something ? | |
| Oct 12, 2011 at 3:18 | history | undeleted | Anton Petrunin | ||
| Oct 12, 2011 at 3:18 | history | edited | Anton Petrunin | CC BY-SA 3.0 |
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| Oct 11, 2011 at 4:12 | history | deleted | Anton Petrunin | ||
| Oct 11, 2011 at 4:02 | history | edited | Anton Petrunin | CC BY-SA 3.0 |
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| Oct 11, 2011 at 3:40 | history | answered | Anton Petrunin | CC BY-SA 3.0 |